Lattice paths with given number of turns and semimodules over numerical semigroups
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Title
Lattice paths with given number of turns and semimodules over numerical semigroupsDate
2014-06Publisher
Springer USBibliographic citation
MOYANO-FERNÁNDEZ, Julio José; ULICZKA, Jan. Lattice paths with given number of turns and semimodules over numerical semigroups. Semigroup Forum, 2014. Volume 88, Issue 3, p. 631-646.Type
info:eu-repo/semantics/articlePublisher version
http://link.springer.com/article/10.1007/s00233-013-9559-7Version
info:eu-repo/semantics/acceptedVersionSubject
Abstract
Let Γ =< α, ß> be a numerical semigroup. In this article we consider several relations between the so-called Γ -semimodules and lattice paths from (0, α) to (ß,0): we investigate isomorphism classes of Γ -semimodules ... [+]
Let Γ =< α, ß> be a numerical semigroup. In this article we consider several relations between the so-called Γ -semimodules and lattice paths from (0, α) to (ß,0): we investigate isomorphism classes of Γ -semimodules as well as certain subsets of the set of gaps of Γ, and finally syzygies of Γ -semimodules. In particular we compute the number of Γ -semimodules which are isomorphic with their k-th syzygy for some k. [-]
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Semigroup Forum June 2014, Volume 88, Issue 3Rights
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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- MAT_Articles [760]